4974705415680 has 1920 divisors, whose sum is σ = 21902843128320. Its totient is φ = 952444846080.

The previous prime is 4974705415679. The next prime is 4974705415747. The reversal of 4974705415680 is 865145074794.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9094525167 + ... + 9094525713.

It is an arithmetic number, because the mean of its divisors is an integer number (11407730796).

Almost surely, 2^{4974705415680} is an apocalyptic number.

4974705415680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4974705415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10951421564160).

4974705415680 is an abundant number, since it is smaller than the sum of its proper divisors (16928137712640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4974705415680 is a wasteful number, since it uses less digits than its factorization.

4974705415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 60.

The spelling of 4974705415680 in words is "four trillion, nine hundred seventy-four billion, seven hundred five million, four hundred fifteen thousand, six hundred eighty".